Differential analysis of matrix convex functions II

Frank Hansen, Jun Tomiyama

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102-116, 2007] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume10
Issue number2
Publication statusPublished - 2009 Dec 1

Keywords

  • Matrix convex function
  • Polynomial

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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